Yeah, wood and dishwasher is not a good combination. Though, it depends on the wood. I have some old 99 cent steak knifes, that have been in the dishwasher a thousand times. The wood has bleached a bit, but is still in one piece.
The real chef knifes I dont put in the dishwasher anyway, its not good for the blades. Some may rust or go blunt. I hand wash them and dry them quickly.
Usually its better to pay a bit more for quality kitchen knifes, and look for certain features. I would not recommend cast plastic handles for example, like your Tanto knife has. I had some, where the blade came loose after a while, which really sucks when you cut something.
Well, the ruined steak knifes could be a nice DIY project if you like wood work. Get some pretty hardwood and make new handles, if the knifes are worth the effort. I have done so, and it can look really cool. I just had difficulties to get those knife rivets, but perhaps you have more luck with that.